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Finding the Fourth Proportional to 10,697.28, 14,761.44 and 5,980.68

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Solution

The fourth proportional to 10,697.28, 14,761.44 and 5,980.68 is: 8,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.28 : 14,761.44 = 5,980.68 : x
  2. Step 2: Convert to fraction form
    10,697.28/14,761.44 = 5,980.68/x
  3. Step 3: Cross multiply
    10,697.28x = 14,761.44 × 5,980.68
  4. Step 4: Simplify right side
    10,697.28x = 88,283,448.98
  5. Step 5: Solve for x
    x = 88,283,448.98/10,697.28
  6. Step 6: Final answer
    x = 8,252.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.